Straighten a curved curve in the Z direction without changing the length

[[Ju...]]

Hallo everyone, 

 

I have a curved curve (see picture) that was generated on a scanned surface. It does not have a simple geometric shape, i.e. it is neither circular nor elliptical.
We are looking for a way to transform or "unroll" (unwinde) this curve so that it is straight in the Z direction.
The geometric lengths should be retained, i.e. there should be no projection, but an unwinding that is true to the length.
Ideally, I would like a solution that can be implemented as a Python programme.

Best regards,

Jure Baloh

[[Ma...]]

I've not tried but there is addon for unbending.

What do you want to achieve?